Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
HCF Calculator using the Euclid Division Algorithm helps you to find the Highest common factor (HCF) easily for 6672, 8225 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 6672, 8225 is 1 the largest number which exactly divides all the numbers i.e. where the remainder is zero. Let us get into the working of this example.
Consider we have numbers 6672, 8225 and we need to find the HCF of these numbers. To do so, we need to choose the largest integer first and then as per Euclid's Division Lemma a = bq + r where 0 ≤ r ≤ b
Highest common factor (HCF) of 6672, 8225 is 1.
HCF(6672, 8225) = 1
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 6672, 8225 is 1.
Step 1: Since 8225 > 6672, we apply the division lemma to 8225 and 6672, to get
8225 = 6672 x 1 + 1553
Step 2: Since the reminder 6672 ≠ 0, we apply division lemma to 1553 and 6672, to get
6672 = 1553 x 4 + 460
Step 3: We consider the new divisor 1553 and the new remainder 460, and apply the division lemma to get
1553 = 460 x 3 + 173
We consider the new divisor 460 and the new remainder 173,and apply the division lemma to get
460 = 173 x 2 + 114
We consider the new divisor 173 and the new remainder 114,and apply the division lemma to get
173 = 114 x 1 + 59
We consider the new divisor 114 and the new remainder 59,and apply the division lemma to get
114 = 59 x 1 + 55
We consider the new divisor 59 and the new remainder 55,and apply the division lemma to get
59 = 55 x 1 + 4
We consider the new divisor 55 and the new remainder 4,and apply the division lemma to get
55 = 4 x 13 + 3
We consider the new divisor 4 and the new remainder 3,and apply the division lemma to get
4 = 3 x 1 + 1
We consider the new divisor 3 and the new remainder 1,and apply the division lemma to get
3 = 1 x 3 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 6672 and 8225 is 1
Notice that 1 = HCF(3,1) = HCF(4,3) = HCF(55,4) = HCF(59,55) = HCF(114,59) = HCF(173,114) = HCF(460,173) = HCF(1553,460) = HCF(6672,1553) = HCF(8225,6672) .
Here are some samples of HCF using Euclid's Algorithm calculations.
1. What is the Euclid division algorithm?
Answer: Euclid's Division Algorithm is a technique to compute the Highest Common Factor (HCF) of given positive integers.
2. what is the HCF of 6672, 8225?
Answer: HCF of 6672, 8225 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 6672, 8225 using Euclid's Algorithm?
Answer: For arbitrary numbers 6672, 8225 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.